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Irish Sport Promotions has designed a company logo - Junior Cycle Mathematics - Question Question 1 - 2013
Question Question 1
Irish Sport Promotions has designed a company logo. The actual size of the logo is shown here. Width ______ mm Height ______ mm (b) The company wants to enlarge th... show full transcript
Worked Solution & Example Answer:Irish Sport Promotions has designed a company logo - Junior Cycle Mathematics - Question Question 1 - 2013
Step 1
Step 2
If the company wants to keep the same width to height ratio as in the original logo, calculate the dimensions of the largest logo that will fit onto the side of the van.
Answer
To maintain the ratio, we first determine the original width to height ratio:
ext{Ratio} = rac{Width}{Height} = rac{27 ext{ mm}}{15 ext{ mm}} = rac{27}{15} = rac{9}{5}
Next, define the dimensions of the logo to fit in the available space of width 2 m (2000 mm) and height 1 m (1000 mm). This means we need to scale the height to the height limit (1000 mm):
- Let the height of the enlarged logo be 1000 mm, then using the original ratio:
rac{Width}{Height} = rac{27}{15}
- Set the height as 1000 mm:
rac{Width}{1000} = rac{27}{15}
- Solving for width gives:
Width = rac{27}{15} imes 1000 = 1800 ext{ mm}
Therefore, the dimensions of the largest logo that will fit onto the side of the van are:
- Width: 1800 mm
- Height: 1000 mm